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yKpoI14uk [10]
2 years ago
6

Jon has $5,000 to invest in a savings account that has interest compounded annually. If he wants his money to double in eight ye

ars, what percent must the interest rate be on the account?
A.4 years
B.5 years
C.6 years
D.7 years
Mathematics
2 answers:
tatuchka [14]2 years ago
6 0
You need this formula
<span>log(1 + rate) = {log(total) -log(Principal)} ÷ Years
we want the money to double so we'll say principal = 100 and total = 200 and we know the years = 8
</span>
<span>{log(200) -log(100)} ÷ 8
( 2.3010299957 - 2 ) </span><span>÷ 8
</span>
<span>.3010299957 / 8
=</span><span><span><span>0.0376287495 </span> </span> </span>
Now we raise 10 to the power of that number
10^ <span> <span> <span> 0.0376287495 </span> </span> </span> = <span> <span> <span> 1.0905077328 </span> </span> </span>
We subtract 1 = <span>.0905077328
multiplying by 100 makes it
</span>
<span> <span> <span> 9.05077328%
That's the RATE but the answers are given in years </span></span></span><span />






ZanzabumX [31]2 years ago
3 0
A 4 years because it is half the number he wants it to double in
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Answer:

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - 6.3% * 51% =47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

M=51% + 6.3% * 51% = 54.213%

Solution:

Margin of error: E=6.3%

Minimum percent of the vote that candidate Towne is expected to recieve:

m=51% - E * 51%

m=51% - 6.3% * 51%

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m=47.787%

Maximum percent of the vote that candidate Towne is expected to recieve:

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M=51% + 6.3% * 51%

M=51% + 51% * 6.3 / 100

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M=54.213%


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Answer:

BD = 12 units

AB = 16 units

FG=\sqrt{105}

EC=4\sqrt{10} units

AC=8\sqrt{10} units

Step-by-step explanation:

A circumcenter is the point  where the perpendicular bisectors of a triangle intersect.

This means

  • BD = DC;
  • BF = FA;
  • AE = EC.

Since BC = 24 units, then BD = 12 units (half of BC).

Since FA = 8 units, AB = 16 units (twice FA).

Consider right triangle BGF. In this triangle, BF = 8 units (congruent to FA), BG = 13 units. By the Pythagorean theorem,

FG^2=BG^2-BF^2\\ \\FG^2=13^2-8^2\\ \\FG^2=169-64=105\\ \\FG=\sqrt{105}\ units

Triangles BFG and AFG are congruent right triangles, then BG = AG. In right triangle AGE, GE=3 units, AG=13 units. By the Pythagorean theorem,

AE^2=AG^2-GE^2\\ \\AE^2=13^2-3^2=169-9=160\\ \\AE=\sqrt{160}=4\sqrt{10}\ units

AE = EC=4\sqrt{10}\ units

AC = 2AE=2\cdot 4\sqrt{10}=8\sqrt{10}\ units

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